Kitchen Sink Drain Line Through Studs???

Hi all. First time poster, long time lurker. I'm redoing my kitchen and came across an issue with the sink drain. I'd like to replace it all with PVC. As you see in the pictures, the drain line is on the outside of the studs. I'd lke to move to the inside so my cabinets will be flush against the wall without any modifications.

With a 2 inch drain pipe, can I just use some stud shoes to compensate where I'll be boring holes. This wall is an outside load bearing wall.

Before anyone gets the wrong idea from this, only the cripple studs under a window or door are assured not to be supporting structural weight. The trimmers and king studs are supporting the header and cannot be notched by more than 25% of their width or drilled to a diameter more than 40% of their width.

It's allowable to bore up holes up to 1 3/8" in load bearing 2x4s. Notching is limited to 7/8". 2" holes can be bored through doubled up 2x4s or single 2x6s.

IF they are going to furr the wall out, they might just as well keep the pipe in the cabinet. Furring the wall will mean EVERYTHING, including the window reveal and all the electical boxes will have to be modified. There is no way to run the pipe under the floorboards and still have a proper drain. Or, if you did, you would still need a pipe like you now have for a vent, and that would create more problems for you, than the drain line. I would have absolutely no reluctance to drilling the 1 1/2" pipe through the studs, and have done it innumerable times, (in fact it usually has to be done in EVERY installation), either for the drain or the vent, depending on where I located the drain riser. I have NEVER used stud shoes on any installation, any where.